Riemann Hypothesis Solved Using A Quantum Mechanical System ( Revised )

Riemann's Hypothesis is that all the non-trivial zeros lie on the line ( y = ½ ) and these zeros have something to do with prime numbers. Since Riemann's Hypothesis includes the line ( y = ½ ), let's chose a quantum energy system in which the energy levels are 2. Riemann's equation also included complex numbers. In a quantum energy system Riemann's complex numbers could be represented by zero's ( 0 ) since ( 2 + 0 = 2 ). ( 1 + 1= 2 ) also equals 2. Riemann also went on to say that the prime number locations were influenced by the position of the zeros. To extend our ( 1 + 1 = 2 ) analogy, we now have ( 1 + 0 + 1 = 2 ). We can convert these additions to numbers ( 11, 101, etc. ). We can now say that we have a real axis ( y = 2 ) with infinite numbers with zeros between their ones ( 11, 101, 1001, 10001, etc. ) on an infinite real axis line ( y = 2 ). We can also say that each of the zero's in ( 101, 1001, 10001, etc. ) are on the line ( y = 2) since the numbers ( 101, 1001, 10001, etc. are also on this line. Riemann also said that the values of the zeros ( 0's ) on the line are equal to ( ½ ) which is also true when the line ( y = 2 ) is flipped. We could also extend this argument to one which says that the value of the ones ( 1's ) are also ( ½ ) since the reciprocal of one ( 1 ) is ( 1 ) and the fraction ( 1 / 1 ) when added ( 1 / 101 ) has the value ½ on the line ( y = ½ ) . These numbers would also be evenly spaced on the real axis line ( y = 2 ) since each infinite number would total energy level 2 which means the distance between the numbers would be ( 2 + 2 = 4 ) or a spacing of 4. Flipped the distance between the numbers would be one ( 1 ) since ( ½ + ½ = 1 ). Riemann's Hypothesis says that all his formula's non-trivial zero's are on the line ( y = ½ ) and this is what we've proved up to now since the non-trivial zeros are in the numbers ( 101, 1001, 10001, etc. ). If we flip our infinite real axis line ( y = 2 ), we create a real axis line ( y = ½ ) with flipped infinite real numbers ( 1/11, 1/ 101, 1/1001, etc. ) all the way to infinity. If we add ( ½ + 1/101 ) we obtain ( .50990099 ). Prime number ( 11 ) is the 6th prime ( 1, 2, 3, 5, 7, 11 ). ( 11 X .50990099 = 5.6089108911 ) or 6 rounded to one digit. The zeros in these numbers are Riemann Zeros and the 9's are Riemann 9's and can be adjusted to get a more accurate estimate.. As a matter of interest prime number 97 is the 26th prime. If you multiply ( 97 X ( .50990099 ) X ( .50990099 )) you get ( 25.22969903 )which is very close to 26. If you adjust the Riemann zeros to form the number ( .509999 ) and do the multiplication ( 97 x (.509999 X .509999) you get ( 25.22960106 ) which is further away from 26. You can see from these calculations that if the Riemann zeros are manipulated as Riemann has suggested to obtain the location of the prime ( or calculate the number of primes up to that point ) you can vary the distance to the true position of the prime. The calculation of the prime numbers and their positions are a little bit more complicated than this illustration but this is the basics.

Riemann Hypothesis Solved Using A Quantum Mechanical System

Riemann's Hypothesis is that all the non-trivial zeros lie on the line ( y = ½ ) and these zeros have something to do with prime numbers. Since Riemann's Hypothesis includes the line ( y = ½ ), let's chose a quantum energy system in which the energy levels are 2. Riemann's equation also included complex numbers. In a quantum energy system Riemann's complex numbers could be represented by zero's ( 0 ) since ( 2 + 0 = 2 ). ( 1 + 1= 2 ) also equals 2. Riemann also went on to say that the prime number locations were influenced by the position of the zeros. To extend our ( 1 + 1 = 2 ) analogy, we now have ( 1 + 0 + 1 = 2 ). We can convert these additions to numbers ( 11, 101, etc. ). We can now say that we have a real axis ( y = 2 ) with infinite numbers with zeros between their ones ( 11, 101, 1001, 10001, etc. ) on an infinite real axis line ( y = 2 ). These numbers would also be evenly spaced on the real axis line ( y = 2 ) since each infinite number would total energy level 2 which means the distance between the numbers would be ( 2 + 2 = 4 ) or a spacing of 4. Riemann's Hypothesis says that all his formula's non-trivial zero's are on the line ( y = ½ ). If we flip our infinite real axis line ( y = 2 ), we create a real axis line ( y = ½ ) with flipped infinite real numbers ( 1/11, 1/ 101, 1/1001, etc. ) all the way to infinity. If we add ( ½ + 1/11+ 1/ 101 + 1001 + etc. ) we eventually start to get numbers resembling ( .509999. .500999, etc. ) The zeros in these numbers are Riemann Zeros and the 9's are Riemann 9's. If you raise these numbers to the power of 2, you get somewhere over ¼ . As a matter of interest prime number 97 is the 26th prime. If you multiply ( 97 X ( .5099999 ) X ( .5099999 ) you get very close to 26. The calculation of the prime numbers are a little bit more complicated than this illustration but this is the basics.

The Third Mathematics

You can make long lists of just about everything, but when it comes down to a serious decision the lists can be grouped into three essentials. For instance, if you are considering going into business it all comes down to:

1. Product
2. Market
3. Financing

Similarly, you and I, structurally, come down to:

1. Skeleton - Frame
2. Nerves - Electrical
3. Blood Supply – Tubing

Mathematics also comes down to:

1. Numbers
2. Symbols
3. Formulas

Reading comes down to:

1. Words - Numbers
2. Letters - Symbols
3. Meaning - Formula

The interpretation of mathematics and reading is generally linear or in other words straight across. Some languages are read vertically which is essentially linear in a vertical direction. If you have the number 7918 in front of you and someone comes along and says the number is wrong and should be 7916, you generally rub it out and write 7916. You do it this way because you have been taught to think of numbers linearly. The third mathematics is thinking of a number as a string which in the case of number 7916 is the number 7, 9, 1, 6 linked together in a string. If you link them together in a string you can add the numbers 7, 9, 1, 6 which in this case total 23.

Number------String 1

7916----------23


You can also keep adding the string number digits until they are in one column .

String 1-------String 2

23--------------5

The number 7916 has the strings 23 and 5 as its' tail.

The string can be subtracted from the Number which forms the frame.

Number-----String 1--Frame 1

7916--------23--------789
The frame is also the area in which the number is located.

The universe consists of 3 strings:

1) Time String
2) Energy String
3) Space String

The time string which has neither energy or space has the value 9 while the universe, in general is based on the number 3.

If you divide the frame by 9 you get the space string or height for that particular number.

Frame 1------Space 1

7893-----------877

Frame 2-------Space 2

7911-----------879

The space string is also the height of the field around the number ( 7916 ) on its' string 23 or 5. The number 7916 can be anywhere in the frame which brings in Heisenberg's Uncertainty Principle. The Heisenberg Uncertainty Principle says that it is impossible to simultaneously determine both the position and momentum of an electron or any other particle with any great degree of accuracy or certainty. This principle is not a statement about the the researcher's limitations but is a statement about the system's limitations due to quantum mechanic equations. The energy string is associated with quantum mechanics and quantum theory. The energy string has quantum force, but neither time nor space. If the energy string has inward quantum force ( >------< ) then it is the strong nuclear force holding atoms together. If the energy string has outward quantum force ( <-----> ) then it is the weak nuclear force which allows reactions to happen without destroying the nucleus of the atom. If the energy string is flexed then it acts as gravity. This principle is similar to Einstein's Theory Of Relativity except that he explained it in terms of large masses ( particles / objects ) whereas I explain it in terms of strings, however, the overall principle is the same.